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Rapid motions of free-surface avalanches down curved and twisted channels and their numerical simulation

Pudasaini, Shiva P. and Wang, Yongqi and Hutter, Kolumban (2005):
Rapid motions of free-surface avalanches down curved and twisted channels and their numerical simulation.
In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, The Royal Society, pp. 1551-1571, 363, (1832), ISSN 1364-503X,
DOI: 10.1098/rsta.2005.1595,
[Online-Edition: http://rsta.royalsocietypublishing.org/content/363/1832/1551...],
[Article]

Abstract

This paper presents a new model and discussions about the motion of avalanches from initiation to run-out over moderately curved and twisted channels of complicated topography and its numerical simulations. The model is ageneralization of a well established and widely used depth-averaged avalanche model of Savage & Hutter and is published with all its details in Pudasaini & Hutter (Pudasaini & Hutter 2003 J. Fluid Mech. 495, 193 208). The intention was to be able to describe the flow of a finite mass of snow, gravel, debris or mud, down a curved and twisted corrie of nearly arbitrary cross-sectional profile. The governing equations for the distribution of the avalanche thickness and the topography-parallel depth-averaged velocity components are a set of hyperbolic partial differential equations. They are solved for different topographic configurations, from simple to complex, by applying a high-resolution non-oscillatory central differencing scheme with total variation diminishing limit.er. Here we apply the model to a. channel with circular cross-section and helical talweg that merges into a horizontal channel which may or may not become flat in cross-section. We shaw that run-out position and geometry depend strongly on the curvature an twist of the talweg and cross-sectional geometry of the channel, and how the topography is shaped close to runout zones.

Item Type: Article
Erschienen: 2005
Creators: Pudasaini, Shiva P. and Wang, Yongqi and Hutter, Kolumban
Title: Rapid motions of free-surface avalanches down curved and twisted channels and their numerical simulation
Language: English
Abstract:

This paper presents a new model and discussions about the motion of avalanches from initiation to run-out over moderately curved and twisted channels of complicated topography and its numerical simulations. The model is ageneralization of a well established and widely used depth-averaged avalanche model of Savage & Hutter and is published with all its details in Pudasaini & Hutter (Pudasaini & Hutter 2003 J. Fluid Mech. 495, 193 208). The intention was to be able to describe the flow of a finite mass of snow, gravel, debris or mud, down a curved and twisted corrie of nearly arbitrary cross-sectional profile. The governing equations for the distribution of the avalanche thickness and the topography-parallel depth-averaged velocity components are a set of hyperbolic partial differential equations. They are solved for different topographic configurations, from simple to complex, by applying a high-resolution non-oscillatory central differencing scheme with total variation diminishing limit.er. Here we apply the model to a. channel with circular cross-section and helical talweg that merges into a horizontal channel which may or may not become flat in cross-section. We shaw that run-out position and geometry depend strongly on the curvature an twist of the talweg and cross-sectional geometry of the channel, and how the topography is shaped close to runout zones.

Journal or Publication Title: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume: 363
Number: 1832
Publisher: The Royal Society
Divisions: 16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
16 Department of Mechanical Engineering
Date Deposited: 24 Aug 2011 17:58
DOI: 10.1098/rsta.2005.1595
Official URL: http://rsta.royalsocietypublishing.org/content/363/1832/1551...
Additional Information:

doi:10.1098/rsta.2005.1595

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